{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "83888ec6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler, MinMaxScaler, RobustScaler, MaxAbsScaler, Normalizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "97e463ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams.update({\"font.size\": 15})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7102c1df",
   "metadata": {},
   "source": [
    "## Raw data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9c8de06d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set random seed for reproducibility\n",
    "np.random.seed(42)\n",
    "\n",
    "# Generating normally distributed data\n",
    "normal_data = np.random.normal(loc=5, scale=30.0, size=1000)\n",
    "\n",
    "# Generating left-skewed data by flipping the right-skewed data\n",
    "left_skewed_data = -np.random.gamma(shape=2, scale=2, size=1000) \\\n",
    "    + np.max(np.random.gamma(shape=2, scale=2, size=1000))\n",
    "\n",
    "# Create dataframe with simulated data\n",
    "df_sim = pd.DataFrame({\n",
    "    'normal': normal_data,\n",
    "    'left_skewed': left_skewed_data}\n",
    ")\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Variable's original value\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Variable's original value\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29131256",
   "metadata": {},
   "source": [
    "## Standardization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c0b1315b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = StandardScaler().set_output(transform=\"pandas\")\n",
    "\n",
    "df_sim_sc = scaler.fit_transform(df_sim)\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "axes[0].hlines(y=0.058, xmin=-4, xmax=1, colors=\"black\", linestyles='solid', clip_on=False)\n",
    "# axes[0].vlines(x=-1, ymin=0, ymax=0.058, colors=\"black\", linestyles='solid')\n",
    "# axes[0].vlines(x=1, ymin=0, ymax=0.0, colors=\"black\", linestyles='solid')\n",
    "\n",
    "axes[1].hlines(y=0.032, xmin=-5, xmax=-1, colors=\"black\", linestyles='solid', clip_on=False)\n",
    "axes[1].hlines(y=0.08, xmin=-5, xmax=1, colors=\"black\", linestyles='solid', clip_on=False)\n",
    "# axes[1].vlines(x=-1, ymin=0, ymax=0.032, colors=\"black\", linestyles='solid')\n",
    "# axes[1].vlines(x=1, ymin=0, ymax=0.08, colors=\"black\", linestyles='solid')\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"z-score\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"z-score\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a606e3dd",
   "metadata": {},
   "source": [
    "## MinMaxScaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a1018873",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = MinMaxScaler().set_output(transform=\"pandas\")\n",
    "\n",
    "df_sim_sc = scaler.fit_transform(df_sim)\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Scaled values\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Scaled values\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c36dbe35",
   "metadata": {},
   "source": [
    "## Robust scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b86a7bcb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = RobustScaler().set_output(transform=\"pandas\")\n",
    "\n",
    "df_sim_sc = scaler.fit_transform(df_sim)\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Scaled values\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Scaled values\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52e137e3",
   "metadata": {},
   "source": [
    "## Mean normalization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b60861de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set up the StandardScaler so that it removes the mean\n",
    "# but does not divide by the standard deviation\n",
    "scaler_mean = StandardScaler(\n",
    "    with_mean=True, with_std=False).set_output(transform=\"pandas\")\n",
    "\n",
    "# set up the robustscaler so that it does NOT remove the median\n",
    "# but normalises by max()-min(), important for this to set up the\n",
    "# quantile range to 0 and 100, which represent the min and max values\n",
    "scaler_minmax = RobustScaler(\n",
    "    with_centering=False, with_scaling=True, quantile_range=(0, 100)\n",
    ").set_output(transform=\"pandas\")\n",
    "\n",
    "# fit the scalers to the train set, it will learn the parameters\n",
    "scaler_mean.fit(df_sim)\n",
    "scaler_minmax.fit(df_sim)\n",
    "\n",
    "# transform train and test sets\n",
    "df_sim_sc = scaler_minmax.transform(scaler_mean.transform(df_sim))\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Scaled values\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Scaled values\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2522f771",
   "metadata": {},
   "source": [
    "## Maximum absolute scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7d8ac8bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set up the StandardScaler so that it removes the mean\n",
    "# but does not divide by the standard deviation\n",
    "scaler_mean = StandardScaler(with_mean=True, with_std=False)\n",
    "\n",
    "# set up the MaxAbsScaler normally\n",
    "scaler_maxabs = MaxAbsScaler()\n",
    "\n",
    "scaler = Pipeline([\n",
    "    (\"scaler_mean\", scaler_mean),\n",
    "    (\"scaler_max\", scaler_maxabs),\n",
    "]).set_output(transform=\"pandas\")\n",
    "\n",
    "df_sim_sc = scaler.fit_transform(df_sim)\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Scaled values\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Scaled values\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7618c025",
   "metadata": {},
   "source": [
    "## Scaling to vector norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b44e626d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6det9z8d6m4gGqp7qbHYLISIiyOVyLF++HAcPHsTVq1exa9cuXL16VamMs7MzvvjiCzz77LNdHuOtt97C1KlT+yNcIiKdxeSaiIiQnJwMmUwGd3d3GBoaYtGiRZ1W4HN1dYWfn1+nlfSAOyuK3rhxA7Nnz+6vkImIdBKTayIiQmlpqdJqcFKpFKWlpSrt29HRgTVr1uCDDz7QVHhERAPGoOlzTURE2vHpp58iLCwMUqn0vmVjYmIQExMDAKioqNB0aERE/Y7JNRERQSKRoLi4WPG6pKQEEolEpX3PnDmDkydP4tNPP0VDQwNaW1thamqKLVu2dCobHR2N6OhoALoxiJOISN2YXBMREYKCgpCdnY38/HxIJBLExsbim2++UWnfr7/+WvH9F198gdTU1C4TayKioYB9romICGKxGFu3bkVoaCjGjBmDhQsXwsfHBxs3bsT3338PAEhJSYFUKsWePXvwyiuvwMfHR8tRExHpnkGz/HlgYCDnSyWiAWso1mFD8ZqJaHDoqf5iyzURERERkZqwzzURDXm+vr4qTTsnkUhw+fLlfoiIiIj6SpW6XRP1OpNrIhrySktLceTIkfuWmzVrVj9EQ0RE6qBK3a6Jep3dQoiIiIiI1ITJNRERERGRmjC5JiIiIiJSE40m14cOHYKXlxdkMlmXCwq0tLQgMjISMpkMwcHBKCgoAHBnQQJ/f3/Fl56eHtLS0jQZKhERERFRn2ksuZbL5Vi+fDkOHjyIq1evYteuXbh69apSme3bt8PKygo5OTlYvXo11q1bBwB47rnnkJaWhrS0NOzcuRNubm7w9/fXVKhERERERGqhseQ6OTkZMpkM7u7uMDQ0xKJFi5CQkKBUJiEhAUuWLAEARERE4OjRo/jtmja7du3CokWLNBUmEREREZHaaCy5Li0thZOTk+K1VCrtNNfgvWXEYjEsLCxQVVWlVCYuLg7PPPNMl+eIiYlBYGAgAgMDUVFRoeYrICIiIiJ6MDo9oDEpKQnDhg3D2LFju9weHR2N1NRUpKamws7Orp+jIyIiIiJSprHkWiKRoLi4WPG6pKQEEomk2zLt7e2ora2FjY2NYntsbGy3rdZERERERLpGY8l1UFAQsrOzkZ+fj9bWVsTGxiI8PFypTHh4OHbs2AEAiI+Px4wZMyASiQAAHR0d2L17N/tbExEREdGAobHlz8ViMbZu3YrQ0FDI5XIsXboUPj4+2LhxIwIDAxEeHo5ly5YhKioKMpkM1tbWiI2NVeyfmJgIJycnuLu7aypEIiIiIiK10lhyDQBhYWEICwtTem/z5s2K742NjbFnz54u950+fTrOnj2ryfCIiIiIiNRKpwc0EhERERENJEyuiYiIiIjUhMk1EREREZGaMLkmIiIiIlITJtdERERERGrC5JqIiIiISE2YXBMRERERqQmTayIiAgAcOnQIXl5ekMlk2LJlS6ftiYmJmDBhAsRiMeLj4xXvp6WlISQkBD4+PvDz80NcXFx/hk1EpFOYXBMREeRyOZYvX46DBw/i6tWr2LVrF65evapUxtnZGV988QWeffZZpfeHDRuGL7/8Eunp6Th06BBWrVqFmpqafoyeiEh3aHSFRiIiGhiSk5Mhk8ng7u4OAFi0aBESEhLg7e2tKOPq6goA0NNTbpcZNWqU4ntHR0fY29ujoqIClpaWGo+biEjXsOWaiIhQWloKJycnxWupVIrS0tIHPk5ycjJaW1vh4eHR5faYmBgEBgYiMDAQFRUVvY6XiEhXMbkmIiK1KC8vR1RUFP797393at2+Kzo6GqmpqUhNTYWdnV0/R0hEpHlMromICBKJBMXFxYrXJSUlkEgkKu9fV1eHefPm4d1338WkSZM0ESIR0YDA5JqIiBAUFITs7Gzk5+ejtbUVsbGxCA8PV2nf1tZWPPHEE3j++ecRERGh4UiJiHQbk2siIoJYLMbWrVsRGhqKMWPGYOHChfDx8cHGjRvx/fffAwBSUlIglUqxZ88evPLKK/Dx8QEA7N69G4mJifjiiy/g7+8Pf39/pKWlafFqiIi0h7OFEBERACAsLAxhYWFK723evFnxfVBQEEpKSjrtt3jxYixevFjj8RERDQRsuSYiIiIiUhMm10REREREasLkmoiIiIhITTSaXB86dAheXl6QyWTYsmVLp+0tLS2IjIyETCZDcHAwCgoKFNsuXbqEkJAQ+Pj4wNfXF83NzZoMlYiIiIiozzSWXMvlcixfvhwHDx7E1atXsWvXLly9elWpzPbt22FlZYWcnBysXr0a69atAwC0t7dj8eLF2LZtG9LT03H8+HEYGBhoKlQiIiIiIrXQWHKdnJwMmUwGd3d3GBoaYtGiRUhISFAqk5CQgCVLlgAAIiIicPToUQiCgMOHD8PPzw/jxo0DANjY2EBfX19ToRIRERERqYXGkuvS0lI4OTkpXkulUpSWlnZbRiwWw8LCAlVVVcjKyoJIJEJoaCgmTJiAv/zlL5oKk4iIiIhIbXRynuv29nacOnUKKSkpGDZsGGbOnImAgADMnDlTqVxMTAxiYmIAABUVFdoIlYiGkIaGBlhbW/dYRiKR4PLly/0UERER6RqNJdcSiQTFxcWK1yUlJZBIJF2WkUqlaG9vR21tLWxsbCCVSjF16lTY2toCuLOwwfnz5zsl19HR0YiOjgYABAYGaupSiIgAAB0dHThy5EiPZWbNmtVP0RARkS7SWLeQoKAgZGdnIz8/H62trYiNjUV4eLhSmfDwcOzYsQMAEB8fjxkzZii6g1y+fBmNjY1ob2/HiRMn4O3tralQiWgQ8/X1hbW1dY9f9fX12g6TiIgGCY21XIvFYmzduhWhoaGQy+VYunQpfHx8sHHjRgQGBiI8PBzLli1DVFQUZDIZrK2tERsbCwCwsrLC66+/jqCgIIhEIoSFhWHevHmaCpWIBrHS0tL7tjYHBwf3UzRERDTYabTPdVhYGMLCwpTe27x5s+J7Y2Nj7Nmzp8t9Fy9ejMWLF2syPCIiIiIiteIKjUREREREasLkmoiIiIhITZhcExERERGpiU7Oc01EpApfX99Oi1P9FmcCISKi/sTkmogGLM4EQkREuobdQoiIiIiI1ITJNRERERGRmjC5JiIiIiJSEybXRERERERqwuSaiIgAAIcOHYKXlxdkMhm2bNnSaXtiYiImTJgAsViM+Ph4pW07duyAp6cnPD09sWPHjv4KmYhI53C2ECIiglwux/Lly3HkyBFIpVIEBQUhPDwc3t7eijLOzs744osv8MEHHyjtW11djbfffhupqakQiUQICAhAeHg4rKys+vsyiIi0ji3XRESE5ORkyGQyuLu7w9DQEIsWLUJCQoJSGVdXV/j5+UFPT/mj46effsKsWbNgbW0NKysrzJo1C4cOHerP8ImIdAaTayIiQmlpKZycnBSvpVLpfRfoUce+RESDDbuFEBFRv4mJiUFMTAwAoKKiQsvREBGpH1uuiYgIEokExcXFitclJSWQSCRq3zc6OhqpqalITU2FnZ1d34ImItJBTK6JiAhBQUHIzs5Gfn4+WltbERsbi/DwcJX2DQ0NxeHDh3Hr1i3cunULhw8fRmhoqIYjJiLSTUyuiYgIYrEYW7duRWhoKMaMGYOFCxfCx8cHGzduxPfffw8ASElJgVQqxZ49e/DKK6/Ax8cHAGBtbY233noLQUFBCAoKwsaNG2Ftba3NyyEi0hr2uSYiIgBAWFgYwsLClN7bvHmz4vugoCCUlJR0ue/SpUuxdOlSjcZHRDQQsOWaiIiIiEhNmFwTEREREamJRpPr+y2l29LSgsjISMhkMgQHB6OgoAAAUFBQABMTE/j7+8Pf3x+/+93vNBkmEekgX19fWFtb9/hVX1+v7TCJiIiUaKzPtSpL6W7fvh1WVlbIyclBbGws1q1bh7i4OACAh4cH0tLSNBUeEem40tJSHDlypMcywcHB/RQNERGRajTWcq3KUroJCQlYsmQJACAiIgJHjx6FIAiaComIiIiISKM0llyrshzuvWXEYjEsLCxQVVUFAMjPz8f48eMxbdo0nDx5sstzxMTEIDAwEIGBgVzpi4iIiIi0Tien4nNwcEBRURFsbGxw7tw5PP7440hPT4e5ublSuejoaERHRwMAAgMDtREqEREREZGCxlquVVkO994y7e3tqK2thY2NDYyMjGBjYwMACAgIgIeHB7KysjQVKhERERGRWmgsuVZlKd3w8HDs2LEDABAfH48ZM2ZAJBKhoqICcrkcAJCXl4fs7Gy4u7trKlQiIiIiIrXQWLeQe5fSlcvlWLp0qWIp3cDAQISHh2PZsmWIioqCTCaDtbU1YmNjAQCJiYnYuHEjDAwMoKenh23btnEpXSLqkSAIuH37Nurq6tDc3AwAMDY2Zt1BRET9SqN9ru+3lK6xsTH27NnTab+nnnoKTz31lCZDI6JBoqWlBUVFRSguLkZjY2On7cuXL8cvv/wCV1dXODs7Q19fXwtREhHRUKGTAxoHKl9f304zovyWRCLB5cuX+ykiosFLLpdj6tSpOHbsGORyOWxsbODu7g4rKyuYmJgAAJqbm7F+/Xo899xzSE9PR15eHnx9fWFvb6/l6ImIaLBicq1Gqix6MWvWrH6Khmjwqqurw4ULFzBt2jTY29tj1KhRMDMz61TO0NAQ586dw6efforKykpcuXJFMQe/l5cXRCKRFqInIqLBTKPLnxMRqZMgCMjNzcXJkyfR2tqKXbt2ISAgoMvE+rdsbW0xZcoUODk5IScnBxcuXEBHR0c/RE1EREOJSsn1Dz/8wA8hItKqjo4OXLp0CdeuXcOIESMwbdo05OTkPNAx9PX14efnh9GjR6OsrAxpaWmDclVY1tlERNqjUnIdFxcHT09PvPnmm8jIyNB0TEREStra2pCcnIzi4mJ4enoiICAAhoaGvTqWSCSCTCZTJNjXrl1Tc7TaxzqbiEh7VEquv/rqK1y4cAEeHh544YUXEBISgpiYGNTX12s6PiIa4lpbW3H27FlUVVVh3Lhxausr7eHhAVdXV8Ugx8GEdTYRkfao3Ofa3NwcERERWLRoEcrLy/Htt99iwoQJ+PjjjzUZHxENYW1tbUhKSkJ9fT0CAwPh5OSktmOLRCJ4e3vD2toaYWFhgy7xZJ1NRKQdKiXXCQkJeOKJJzB9+nTF49mDBw/i4sWL+Nvf/qbpGIloCDI0NMTZs2dRV1eHgIAAjBgxQu3n0NPTw4QJE9Da2jqoBjiyziYi0h6VpuLbt28fVq9ejalTpyq9P2zYMGzfvl0jgekSVeavBjDoWr6ItKW9vR0LFixAXV0dAgMDNZJY32VsbIwDBw4gMjIS2dnZ8PLy0ti5+stQr7OJiLRJpeR65MiRnSrpdevW4f3338fMmTM1EpguUWX+agAIDg7uh2iIBreOjg7s27cPUqkU/v7+Gk2s78rKyoJUKkVOTg4cHR1VmtpPlw31OpuISJtU6hbSVWJ58OBBtQdDREObIAj48ccfce3aNZw4cQISiaTfzu3t7Q2xWIzLly8P+On5WGcTEWlPj8n1Z599Bl9fX2RkZMDPz0/x5ebmBj8/v/6KkYiGiDNnzuDcuXN46KGHkJaW1q/nNjQ0xOjRo1FdXY3y8vJ+Pbe69LXOPnToELy8vCCTybBly5ZO21taWhAZGQmZTIbg4GAUFBQAuDPwdMmSJfD19cWYMWPw3nvvqfvSiIgGjB67hTz77LOYO3cu/vu//1upojUzM4O1tbXGgyOioSM7Oxs///wzvL298eijj2olBmdnZxQUFCAjIwMjR46Ent7AWsS2L3W2XC7H8uXLceTIEUilUgQFBSE8PBze3t6KMtu3b4eVlRVycnIQGxuLdevWIS4uDnv27EFLSwsuX76MxsZGeHt745lnnoGrq6umLpWISGf1+MkhEong6uqKTz75BGZmZoovAKiuru6XAIlo8KuoqMDevXsxYsQIPPbYY2qZx7o3RCIRRo8ejcbGRhQXF2slhr7oS52dnJwMmUwGd3d3GBoaYtGiRUhISFAqk5CQgCVLlgAAIiIicPToUQiCAJFIhNu3b6O9vR1NTU0wNDSEubm5Zi6SiEjH3bflev/+/QgICIBIJFLqhygSiZCXl6fxAIlocGtsbMSuXbsgFouxaNGiXq+8qC729vawsrJSDHLU19fXajwPoi91dmlpqdI84lKpFElJSd2WEYvFsLCwQFVVFSIiIpCQkAAHBwc0Njbi73//e7ct5TExMYiJiQFw548qIqLBpsfkev/+/QCA/Pz8fgmGiIYWuVyO+Ph41NXVYcmSJbCwsNB2SBCJRBgzZgxOnz6N/Px8yGQybYekMm3V2cnJydDX10dZWRlu3bqFKVOm4NFHH4W7u3unstHR0YiOjgYABAYG9mucRET9ocfk+vz58z3uPGHCBLUGQ0RDy08//YT8/Hw89thjal19sa+sra1hb2+P3NxcuLi4wMDAQNshqaQvdbZEIlHqClNSUtJptpa7ZaRSKdrb21FbWwsbGxt88803mDNnDgwMDGBvb4/JkycjNTW1y+SaiGiw6zG5XrNmTbfbRCIRjh07pvaAiGhoSE1NRUpKCkJCQuDv76/tcDoZNWoUTp06haKiInh4eGg7HJX0pc4OCgpCdnY28vPzIZFIEBsbi2+++UapTHh4OHbs2IGQkBDEx8djxowZEIlEcHZ2xrFjxxAVFYXbt2/j7NmzWLVqlboui4hoQOkxuf7ll1/6Kw4iGkIKCgpw8OBBeHp6am1mkPuxtLSEra0t8vLy4ObmNiBmDulLnS0Wi7F161aEhoZCLpdj6dKl8PHxwcaNGxEYGIjw8HAsW7YMUVFRkMlksLa2RmxsLABg+fLlePHFF+Hj4wNBEPDiiy9yulYiGrJ6TK6PHTuGGTNmYN++fV1uf/LJJ3s8+KFDh7By5UrI5XK89NJLWL9+vdL2lpYWPP/88zh37hxsbGwQFxenNHVTUVERvL29sWnTJrzxxhsqXhIR6bJbt25h9+7dsLa2xpNPPqnTSauHhweSkpI6DfbTVX2ts8PCwhAWFqb03ubNmxXfGxsbY8+ePZ32MzU17fJ9IqKhqMfk+sSJE5gxYwZ++OGHTttEIlGPFXVf5ky96/XXX8fcuXN7c11EpINaWlqwa9cuCIKAZ555BsbGxtoOqUe2trYwNzdHbm4upFKptsO5r77U2UREpB49Jtdvv/02AODf//73Ax/43jlTASjmTL03uU5ISMCmTZsA3JkzdcWKFYo5U7/77ju4ublh+PDhD3xuItI9HR0d2LdvHyorKxEVFTUgFqISiURwd3dHWloabt68qe1w7qsvdTYREamHSs9jq6qq8Nprr2HChAkICAjAypUrUVVV1eM+Xc2ZWlpa2m2Ze+dMbWhowPvvv48//elPPZ4jJiYGgYGBCAwM5HypRDru6NGjyMrKwty5c+Hm5qbtcFTm6OgIExMT5ObmajsUlfWmziYiIvVQKbletGgR7OzssHfvXsTHx8POzg6RkZEaC2rTpk1YvXo1TE1NeywXHR2N1NRUpKamws7OTmPxEFHfXLx4EadPn0ZAQACCgoK0Hc4D0dPTg6urK6qrq2Fvb6/tcFTS33U2ERH9R4/dQu4qLy/HW2+9pXi9YcMGpb7RXenLnKlJSUmIj4/Hm2++iZqaGujp6cHY2BgrVqx4kGsjIh1QUlKCH374Aa6urgN2DIWTkxMyMzMREBCg7VBU0ps6m4iI1EOlluvZs2cjNjYWHR0d6OjowO7duxEaGtrjPvfOmdra2orY2FiEh4crlbk7ZyoApTlTT548iYKCAhQUFGDVqlX4wx/+wMSaaACqqalBbGwszM3N8fTTTw+opcTvZWhoCEdHR/j6+qK9vV3b4dxXb+psIiJSjx5brs3MzCASiSAIAv7xj39g8eLFAO4MTDI1NcUHH3zQ/YH7MGcqEQ18d2cGaW9vxwsvvIBhw4ZpO6Q+cXFxQUlJCUpLS+Hi4qLtcLrUlzqbiIjUo8fkur6+vk8H7+2cqfe6O5sIEQ0cHR0diI+PR0VFBRYvXgxbW1tth9RnlpaWKC8vh5mZGZydnSESibQdUid9rbOJiKjvVOpzDdxZ+CE7OxvNzc2K96ZOnaqRoIhoYDt8+DBycnIwb948xXScA51IJMK5c+fg4OCAW7du6fxUgqyziYi0Q6Xk+vPPP8eHH36IkpIS+Pv74+zZswgJCcGxY8c0HR8RDTApKSlISkpCcHAwAgMDtR2OWl25cgWPP/44CgsLdTq5Zp1NRKQ9Kg1o/PDDD5GSkgIXFxf88ssvuHDhAiwtLTUcGhENNLm5uTh48CA8PT0xe/ZsbYejdm1tbZBIJCgvL0dbW5u2w+kW62wiIu1RqeXa2NhYsUxxS0sLRo8ejczMTI0GNlg1NDTct8VLIpHg8uXLPZbx9fXttChPb45DpC43btzAnj17YGdnh6eeegp6et3/7a7Kz6+u9h92cnJCYWEhysrKdHZgI+tsIiLtUSm5lkqlqKmpweOPP45Zs2bByspKZz9UdF1HRweOHDnSY5lZs2bd9zilpaVqOQ6ROtTW1uLrr7+GoaEhnn32WRgZGfVYXpWf3+DgYHWGqDYWFhYwMzNDcXGxztaDrLOJiLRHpeT622+/BXBn5o5HHnkEtbW1mDNnjkYDI6KBoampCV999RVaW1uxdOlSWFhYaDskjRKJRJBKpbh27Rrq6+thZmam7ZA6YZ1NRKQ9Ks8Wcv78eZw6dQoikQiTJ0+GoaGhJuMiogGgra0Nu3btwq1bt7B48eIBszx4X0mlUmRkZKCkpARjxozRdjhdYp1NRKQdKg1o3Lx5M5YsWYKqqipUVlbixRdfxJ///GdNx0ZEOqyjowP79u1DcXExnnzySbi6umo7pH5jZGQEe3t7lJSUoKOjQ9vhdMI6m4hIe1Rquf76669x8eJFxQCZ9evXw9/fHxs2bNBocESkmwRBQEJCAjIyMjB37lx4e3trO6R+5+TkhBs3bqCiogIjRozQdjhKWGcTEWmPSsm1o6MjmpublUafSyQSjQY22AmCgNu3b6OmpgYNDQ1oa2tDe3s7BEHA1KlTcerUKVhbW8PJyUkn+3TS4KLK7B331gGPPPII/Pz8cPr0aXz44YeKMkNphhp7e3sYGhqitLRU55Jr1tlERNrTY3L9+9//HiKRCBYWFvDx8cGsWbMgEolw5MgRTJw4sb9iHFQsLS1x7do1lJWVoampCcCdAVIGBgYQi+/8d3h7e+Po0aNK+7i7u8PHxweurq49TnFG1Buqzt6RmJiIa9euIS8vDx4eHpg3b57SMuBDaYYaPT09ODg4oLi4GO3t7YrfX21inU1EpH09fhrcXV0tICAATzzxhOL96dOnazSowej27dvIzMzE8uXLkZeXB1tbW8hkMlhbW2P48OFKCfOsWbNQXl6OyspKFBUVobi4GJcvX8b58+cxbNgw+Pv7szWbtCIrKwt5eXlwdXXF6NGjlRLroUgikaCwsBDXr1+HVCrVdjiss4mIdECPyfWSJUsU37e2tiIrKwsA4OXlBQMDA81GNkh0dHQgJycHOTk5EIlEOHv2LDZu3Kh4XNsdIyMjSCQSSCQShISEoK2tDdnZ2bh8+TLOnDmDF154AampqZDJZFx5jfrFlClTkJ2dDalUCh8fnyGfWAOAlZUVTExMUFpaqhPJNetsIiLtU6l/wfHjx+Hp6Ynly5fj1VdfxahRo5CYmKjp2Aa8xsZG/Prrr8jKysLIkSPxyCOP4OjRo/dNrLtiYGAAb29vREZGYuXKlTh37hyqqqpw6tQppKSkoLa2VgNXQHRnfEBmZiamT58OiUSCcePGMbH+/0QiESQSCSoqKtDS0qLtcBR6W2cfOnQIXl5ekMlk2LJlS6ftLS0tiIyMhEwmQ3BwMAoKChTbLl26hJCQEPj4+MDX1xfNzc3qvCQiIiW+vr6wtrbu8UtbK/2q1ElwzZo1OHz4MLy8vADceTT8zDPP4Ny5cxoNrj9oahnmW7duITk5GYIgICAgAA4ODirvq8oS6fX19diwYQMKCgqQl5eHkydPQiqVYvTo0b1K3om6cjexzsnJQVpaWqc+1nSna0hOTg7Kysrg5uam7XAA9K7OlsvlWL58OY4cOQKpVIqgoCCEh4crzQSzfft2WFlZIScnB7GxsVi3bh3i4uLQ3t6OxYsXY+fOnRg3bhyqqqrYUk5EGqXLK/2qlFy3tbUpKmkAGDVqFNra2jQWVH/SxH/OjRs3cO7cORgbGyM4OBjDhw9/oP1VWSI9ODgYBgYG8PT0hKurK3JycpCfn4/y8nLIZDK4u7s/0DmJfksQBGRkZCA3NxfOzs545513OJVbF8zMzGBubo7S0lKdSa57U2cnJycr1R2LFi1CQkKCUnKdkJCATZs2AQAiIiKwYsUKCIKAw4cPw8/PD+PGjQMA2NjYqPmKiIgGDpWS64CAALz00ktYvHgxgDtzqN4dOEPKSkpKcPHiRZibm2PixIkwMjLS+DkNDAwwZswYODs749q1a8jMzERRUZHOfNDTwCMIAtLT01FQUAAXFxeMHTtW2yHpNIlEgmvXrqGhoUHboQDoXZ1dWloKJycnxWupVIqkpKRuy4jFYlhYWKCqqgpZWVkQiUQIDQ1FRUUFFi1ahDfffLPL88TExCAmJgYAUFFR0etrJKLBqbseBQYGBrCzs4O5uTn09fUhlUpRW1sLc3NznXuiqlJyvW3bNnzyySf46KOPANwZ2PTqq69qNLCByNPTExcvXoS1tTWCgoL6fWqu4cOHIzAwEFVVVbhy5QrCw8OxZ88ezJkzh7OLkMo6OjqQlpaGsrIyuLu7Y8yYMTpXcekaR0dHxRSbuqC/6+z29nbF+I9hw4Zh5syZCAgIwMyZMzuVjY6ORnR0NACwkYaIOrm3R0F7eztKS0tRWlqKW7duQRAEpbInT56EoaEhJBIJ3NzcMGzYMG2E3Ml9sz+5XI5x48YhIyMDr7/+en/ENCDdunULTz31FMzNzbWSWN/LxsYGU6ZMwYYNG6Cvr4/c3Fw8+uijCAgIYJJEPWpvb8e5c+dQUVGB0aNHQyaTaTukAcHExAQ2Njb3Hb/RH3pbZ0skEhQXFytel5SUdFp45m4ZqVSK9vZ21NbWwsbGBlKpFFOnToWtrS0AICwsDOfPn+8yuSYiup/29nbFmLLW1laYmZnBw8MD1tbWGDZsGPT19bFw4UJ89tlnuHHjBgoKClBYWAgPDw94enpqfT2Q+55dX18fXl5eKCoq6o94BqSGhgYkJyejvr4eEydO1InFJPT09JCSkoL/+q//gqOjIw4cOIAvv/wSNTU12g6NdFRrayvOnj2LiooK+Pn5MbF+QBKJBLdv39b6ao29rbODgoKQnZ2N/Px8tLa2IjY2FuHh4UplwsPDsWPHDgBAfHw8ZsyYoegOcvnyZTQ2NqK9vR0nTpxQ6qtNRASoNsOHq6srjh07hoyMDFhYWOChhx7C1KlTMXr0aNjb28PU1BQmJia4efMmpFIpAgICMGPGDIwcORLZ2dk4c+aM1mcrUikLvHXrFnx8fDBx4kSlwXnff/99j/sdOnQIK1euhFwux0svvYT169crbW9pacHzzz+Pc+fOwcbGBnFxcXB1dUVycrLisaEgCNi0aZPSggi6pL29HampqRCJRPjmm2/w/PPPazskJTY2NoiKisKFCxfw008/4bPPPkNoaCjGjx//QK3YqsyqMpSWvh5sLCws8Ouvv6KpqQmBgYEYOXKktkMacBwcHHDlyhWlgYTa0ps6WywWY+vWrQgNDYVcLsfSpUvh4+ODjRs3IjAwEOHh4Vi2bBmioqIUC2DFxsYCuDPf9+uvv46goCCIRCKEhYVh3rx5Gr9OIhpYeppE4vbt27h8+TIqKysxbNgwBAUFwcrKSqXjmpiYYMKECRg5ciQuXryIX3/9FSEhIeoM/YGolFy/8847D3zgvkzrNHbsWKSmpkIsFqO8vBzjxo3DggULdKJF+F6CIODy5ctoaGjApEmTcOvWLW2H1CWRSIQJEybA3d0dCQkJ+OGHH5CRkYEFCxao3BdblVlVhtLS14NJUVERIiMj0draikmTJt13GkjqmoGBAby8vLB3715th9KrOhu4050jLCxM6b3Nmzcrvjc2NsaePXu63Hfx4sWKAZRERA+ipKQEly9fhkgkwo8//ohPPvmkV91YHR0dMWzYMCQlJeH06dMwNzfXQLT312O22tzcjG3btiEnJwe+vr5YtmyZygluX6Z1urdDenNzs872Ey4qKkJpaSlGjRql6GuoyywtLfH8888jOTkZP//8Mz799FPMmzePM0EMYZcvX0ZCQgKam5sxd+5cmJqaajukAc3Dw0OrXej6UmcTEfW39vZ2XL58GaWlpbC2tsb48ePxpz/9qU95n6WlJSZNmoQzZ85g0aJFaG9v7/d6sMc+10uWLEFqaip8fX1x8OBBrFmzRuUDdzWt02+7FXQ3rRMAJCUlKVb62rZtW5c3JiYmBoGBgQgMDOz3KZ3q6uqQnp4OOzs7eHp69uu5+0IkEiE4OBi/+93vYGtri7179+Lbb7/VqdXlSPMEQcCJEyewb98+SCQS7N69Wy2J9d0FkHR11azBri91NhFRf2poaMCpU6cUjZQhISEwMTFRy7EtLCwQEBAAOzs7pKWldZplRNN6TOWvXr2q6EO7bNkyTJw4sV+CAu4skpKeno5r165hyZIlmDt3bqeVB7U1pdPdqcoMDAzg7++vsy3rPbGxscGLL76IkydP4sSJEyguLsaTTz4JqVSq7dBIw1paWvDdd98hIyMDfn5+WLBggdqSMFUWQAK0t2rWYKfNOpuISFU3btzAhQsXoKenh0mTJmnk6b+dnR2OHTuGRx99FAUFBf269kePLdf3Ll/7oE3qDzKtEwClaZ3uNWbMGJiamuLKlSsPdH5Nys7ORl1dHXx9fftlkRhN0dPTw7Rp0/DCCy+go6MD//d//4eTJ0+io6ND26GRhlRWVuLzzz9HZmYmQkND8fjjj7PbwCDSlzqbiKg/ZGdnK+bEf/jhhzXarfbMmTOwt7fv90W+eqx97640CNx5jNzU1ARzc3MIggCRSIS6urpu9713WieJRILY2Fh88803SmXuTusUEhKiNK1Tfn4+nJycIBaLUVhYiIyMDLi6uvb9atWgtrYWOTk5kEgkg2ZGhXnz5qGiogIzZsyAIAj48ssv8dNPPyn9IPIx/sCXmZmJb7/9Fvr6+oiKiuIKnoNQX+psIiJNam1tRVhYGDIzM+Ho6Ihx48ZBX19f4+f18/PDiRMncPHiRTz00EP90tugx+RaLpf3/sB9mNbp1KlT2LJlCwwMDKCnp4dPP/1UJwYM3u0OYmhoCB8fH22HozZ3ZwIRBAGlpaXQ19fH7373O/j5+cHBwQEAH+MPZIIgIDExEcePH4eDgwMWLlwIS0tLbYdFGtCXOpuISFNu3bqF2NhYeHh4YMyYMXB3d++3LrXGxsbw8fFBWloaioqK4OLiovFzavS5YW+ndYqKikJUVJQmQ+uV/Px81NfXIzAwEIaGhtoOR+1EIhGkUimsrKxw/vx5nDt3Dk5OToPqD4mhpqGhAd999x1yc3Ph5+eH+fPnK3UdICIi0qS8vDzEx8dDEAQkJCR0WpyqP9zthpyRkQEHBweN53DaXR9yAGlqakJWVhbs7e0HTXeQ7gwfPhyTJ0+Gh4cHiouLcerUKa2vOkcPLi8vD//85z9RWFiIefPm4fHHH2diTURE/UIQBJw+fRpfffUVTE1N8fLLL2ttqlKRSAQfHx+0t7cjMzNT4+fjiBcVXb16FYIgDJlWXD09PYwZMwZ2dna4cOECli5divz8fLi6ug7I2VGGko6ODvzyyy84deoUbG1tsXjxYv5xRERE/aa1tRXff/890tPT4e3tjccee0zrT/zNzc3h7OyMoqIieHh4KK2pom5MrlXg5uaG8vJyjBo1SmkpYV13d87h++lpsKKtrS2mTp2KTz75BGKxGJWVlRg3bpzWf0mo6yXpzczMMGfOHDg6OuLKlSs4ceIEtm3bxmXpiYioX9ztX33z5k3MnDkTkydP1plGOZlMhuLiYmRlZcHf319j52FyfR8dHR0IDQ3FsGHD4OHhoe1wHoi65hw2MjJCXFwcdu3ahYyMDCQmJsLf318nBpkOZfcuSX93MOrdKSt9fX0xf/58rF+/nsvSExFRv8jJycHevXsBAM899xxkMpmWI1JmYmICV1dX5OXlQSaTaWxVYva5vo/i4mLY2dnB29u7X6aM0WXu7u6YPHky9PX1cfbsWWRmZnJObB3Q0tKC1NRUpKWlwdzcHFOmTOk0pzwREZGm3O2O+PXXX8Pc3Bwvv/yyziXWd3l4eEBfX1+jfa/Zct2D9vZ2ZGVloaioCPPmzdN2ODrBwsICU6ZMQXp6OrKzs1FZWYnx48drtO8Sda+srAyXL1+GXC7v9+mNiIiIamtrsW/fPhQVFcHf3x9z587V6a6jRkZGcHd3R3Z2NmprazVyDrZc9yA3NxctLS04cuQIE5Z7iMVijBs3DuPHj0d9fT1OnjyJsrIybYc1pDQ2NmLOnDk4f/48hg0bhilTpsDDw4M/p0RE1G8yMjKwbds2XL9+HU888YRODFxUhbu7O8RiMXJycjRyfLZcd6O5uRl5eXlwcHBg4tgNiUQCS0tLXLhwAefPn8eMGTPQ1tbG6d40SBAEXLp0CYcPH4ZMJsOoUaMgk8mgp8e/k4mIqH80Nzfjp59+QlpaGhwcHBAREaHSBAq6wsDAAK6ursjJydHIompMrruRlZWFjo4OjB49Wtuh6LThw4fjoYceUvRdWrNmDQ4ePIiqqqouy0skkn6duaKrGTV+a6DEVFVVhQMHDiA/Px9SqRQxMTGKVU2JiIj6Q2ZmJg4cOICGhgZMnjwZjzzyyIAck+bm5oa8vDxMmDBB7cdmct2F+vp6FBUVwdXVdUBNvactd+fEfvvtt7Fs2TI8//zz8Pb2houLS6duCv09c8W9M2p0R9djksvl+PXXX5GYmAixWIywsDAEBgZi7dq1mg6ViIgIAHD79m389NNPuHz5MkaMGIFFixbB0dFR22H1mpGREaRSKUpLS9HR0aHWJ8BMrruQkZEBsViMUaNGaTuUASU/Px9Tp05FWloarly5goqKCs6J3Ue5ubk4dOgQKisr4e3tjTlz5sDMzEzbYRER0RAhl8uRlJSExMREtLW1Yfr06Xj44Yc7tVar8lS2p3U1tMHHxwdr1qzBtm3b1HpcJte/UV1djRs3bmD06NFMCnvByMgIEydORH5+Pq5du4bExESMHz8eNjY22g5tQDEwMMCSJUvg7u6OmpoaJCYm4sMPP1Qqo2olpcpiQrpW4RERkXYJgoDMzEwcOXIE1dXVkMlkmD17Nuzs7Losr8pT2futq9HfNNWdhcn1b2RlZcHQ0BCurq7aDmXAEolEcHd3h42NDc6fP48zZ87Azc2N/ddV0NbWhuzsbLzyyiswNDSEp6cn3NzcsHjx4k5lVa2kVFlMSNcqPCIi0g5BEJCXl4fExEQUFRXB1tZWJxeE0WVMru9RVVWlePwuFvPW9NXdObEzMjKQn5+PGzduDOj+WZrU0dGBoqIiZGVlobW1FZcuXcLatWthbGys7dCIiGgAUqWbBvCfAfSCICA7OxuJiYkoLS2FmZkZwsLCMGHCBPj7+w+4Lh/axAzy/7v7+MPIyAguLi7aDmfQEIvFGDt2LEaOHIlLly4hIiICBw8exIwZM2BkZKTt8LROEASUlJQgKysLTU1NsLa2hre3N9555x289dZb2g6PiIgGKFW6aQDAvHnzkJKSgtTUVNy8eROWlpaYP38+xo0bp2hoHIhdPrSJyfX/V1VVherqavj4+AzIKWV0na2tLaZOnYotW7ZAJBLh2rVrCA0Nhbe395Bc+EQQBFy/fh2ZmZloaGiAhYUFfH19YWdnNyTvB+mGQ4cOYeXKlZDL5XjppZewfv16pe0tLS14/vnnce7cOdjY2CAuLk6pC11RURG8vb2xadMmvPHGG/0cPZH2PGgrcV+P1dcpZAVBQF1dHQoLC7Fs2TL8+OOPGDlyJB577DH4+voyD+ojJtf4T6u1sbExnJ2dtR3OoCUWi3HixAl8/PHHOHDgAOLj4+Hh4YG5c+cOmQGPgiDAw8MDp06dQm1tLUxNTREQEICRI0cyqSatksvlWL58OY4cOQKpVIqgoCCEh4fD29tbUWb79u2wsrJCTk4OYmNjsW7dOsTFxSm2v/7665g7d642wifSKlVbiVWZ+lWTU8jW19ejrKwMZWVluH37NvT09HDt2jVcu3YNN27c6HE/Uh2TawAVFRW4desW/1rrJ1KpFC+//DJSUlLwyy+/4LPPPkNQUBCmTJmCYcOGaTs8jZDL5bh06RJ+/fVXzJ8/H21tbRg3bhykUimTatIJycnJkMlkcHd3BwAsWrQICQkJSsl1QkICNm3aBACIiIjAihUrIAgCRCIRvvvuO7i5uXFtACIdIpfLcevWLVRUVODmzZuKJNnGxgbu7u5wcHDA22+/jaSkpB6Pwy4fD4bJNe7MEGJiYgInJydthzJk6OnpITg4GN7e3jh27BiSkpJw4cIFPPzwwwgODh40S6g3Njbi/PnzSElJQV1dHUaMGIEff/wRn3zyCZNq0imlpaVKdaBUKu30gXtvGbFYDAsLC1RVVcHY2Bjvv/8+jhw5gg8++KDH88TExCAmJgbAnYYNot7QxdV3dUFbWxvKy8tRXFyM8PBwHD58GHK5HCKRCNbW1vDx8YGDgwMHy2uYRpPr3vbfO3LkCNavX4/W1lYYGhrir3/9K2bMmKGRGF1dXVFTUwM/Pz+1rs5DqjEzM8Njjz2GkJAQHD16FEePHkVycjImT56M8ePHD9i5xsvLy5GcnIwrV66gvb0drq6umD9/PmQyGf7whz8wsaZBZdOmTVi9ejVMTU3vWzY6OhrR0dEAgMDAQE2HRoOULq6+298aGxtx8+ZNxdf169dRXl6Ojo4OAIClpSWkUins7e1hY2PDWdD6kcbudF/679na2uKHH36Ao6Mjrly5gtDQUJUGCjwoQRAwadIkDBs2DFKpVO3HJ9XZ29vjmWeeQWFhIY4dO4ZDhw7hxIkTCAoKwsSJEwfEo+bGxkZcuXIFFy9eRFlZGQwMDDBu3DhMnDgR9vb22g6PqEcSiQTFxcWK1yUlJZBIJF2WkUqlaG9vR21tLWxsbJCUlIT4+Hi8+eabqKmpgZ6eHoyNjbFixYr+vgyiQUMul6O5uRlNTU2dvpYtW4a//vWvirLGxsYYMWIEQkJC4OTkBKlUCicnJ0RFRWnxCoYujSXXfem/N378eEUZHx8fNDU1oaWlRe1Tt2VmZmLEiBHw9PRkq7WOcHFxwYsvvoji4mKcPn0aiYmJOH36NMaOHYvx48fDyclJp1p9W1pakJOTgytXriArKwsdHR0YOXIkQkND4e/vz0dvNGAEBQUhOzsb+fn5kEgkiI2NxTfffKNUJjw8HDt27EBISAji4+MxY8YMiEQinDx5UlFm06ZNMDU1ZWJNdB/Nzc2oqalBTU0NamtrFV8LFy7EkSNH0NLS0mkfIyMjmJiYoKioCCtXroS9vT1GjBgBU1NTnfpsHOo0llz3pf+era2toszevXsxYcKELhPrvvbdy8vLw61btzq1zpD2OTk5ITIyEpWVlThz5gyuXLmCtLQ02NraYuzYsfD29u52CVZNq6+vR3Z2NjIyMpCXlwe5XI7hw4dj4sSJGDduHEaOHKmVuIj6QiwWY+vWrQgNDYVcLsfSpUvh4+ODjRs3IjAwEOHh4Vi2bBmioqIgk8lgbW2N2NhYbYdNpLMEQUBTUxPq6+tx+/ZtNDY2Yv78+di2bRtqamo6Jc/6+vqwsLBAW1sb7O3tYWJiovRlbGysmHTh7bffVpqph3SLTnfASU9Px7p163D48OEut/e1715YWJjiw4J0k62tLRYsWIDQ0FCkp6cjLS0Nx48fx/Hjx2FjYwMPDw94eHjAxcVFI4vSCIKAhoYGFBUVIT8/H4WFhaisrARwpz9bYGAgRo8eDWdnZz79oAEvLCwMYWFhSu9t3rxZ8b2xsTH27NnT4zHuPo0kGioEQYCZmRlu3LiBhoYG1NfXo76+Hg0NDZDL5YpydxsRLSws4OzsDEtLS1haWsLCwgKWlpYYNmyYYuDhq6++qsUror7SWHLdl/57d8s/8cQT+PLLL+Hh4aGpMLt87EK6x9DQEOPHj8f48eNRX1+PjIwMZGZm4vz580hOTgZwJxF3dHTEiBEjYGNjAxsbG5VnHWlra0NdXR3q6upQW1uLmzdv4saNG7h+/ToaGxsVMbi4uMDf3x8eHh4YMWIEH8MREQ0RgiCgtrYWFRUViq+bN2+ioqICS5cuRUpKCoA7XTfMzMzg7OwMU1NTmJmZwdTUFAYGBnjooYfw9ddf93gezik98Gksue5L/72amhrMmzcPW7ZsweTJkzUVIg1QZmZmCAoKQlBQENrb21FcXIyioiKUlZUhNzcXly5dUpR99dVXcfDgQRgaGkJfXx/6+voQiUTo6OiAXC6HXC7HK6+8gv/5n/9ROoe+vj7s7e0xatQojBw5ElKpFA4ODvdtnVZleihWnEREuksul6O6uhqVlZWorKxEVVUVKisrUVFRgdbWVkU5U1NT2NnZYfz48Xjvvffw1ltvwdTUtMdZrjo6OriM+BCgseS6L/33tm7dipycHGzevFnxSPLw4cOccYE6EYvFcHNzg5ubm+K9xsZGVFdXo6qqCm+88Qaef/55tLS0KBJqQRCgp6cHfX196OnpISkpCatXr4a5ubniy8rKqlfdPFSZHooVJxGR9nR0dKC+vh61tbWdBhNWV1fj1q1bEARBUd7c3By2trYYN24c7O3tYWdnp+gTfddzzz0Ha2trbVwO6SCN9rnubf+9DRs2YMOGDZoMjQaxYcOGKaZXPHfuHLZs2dJj+bVr12Lfvn39FB0REWmKIAhobW1Fc3Mz3N3dkZycjNraWqVuf3V1dUrJMwCYmJjAwsICI0aMgI+PD2xtbWFrawsbGxuNjOehwU2nBzTS4NPQ0KDSX/dDcWUtIiK6P0EQMHz4cFRWVqKhoQG3b99GQ0MDGhsb0dTUpFhEZcGCBTh48CD09PRgbm4OCwsLuLi4KAYV3vs1UBcsI93E5Jr6lSr9zYDBv7IWERHdX0dHB6qqqlBeXq74un79Ol566SWcPXsWwJ0xMsOHD4e5uTlGjBgBY2NjmJiYYPny5ZDL5YpB6V1RpSGHY2noQTG5JiIiIp3g7+8PQRAgkUgUsz/dbVVua2tDZWUlbt68ibKyMrz99tsYPnw4jI2Nu5y5qbS0tNP6Gr+lSkMOx9LQg2JyTQMWWxOIiAa25uZmFBUVobCwEIWFhQgPD1cslGJhYQErKytYWlrC3NwcpqamioHmwcHBSgvOEekSJtc0YLE1gYhI81RpyFB1nExHRwfKy8uRm5uL3NxcFBcXQxAE6OvrQyKR4Pz581i+fDmsrKxUXqeASNcwuSYiIqJuqdKQ0VP3ivr6ekUynZubi6amJgCAg4MDJk+eDA8PD0gkEhgYGGDNmjV4++231Rr/YKTK5AB8cqs9TK6JiIhIbQRBwPXr1xUr6d64cQMAMHz4cHh6ekImk8Hd3R3Dhw/XcqQDFxej0W1MromIiKhP9PT0kJ+fr0ioa2trAQDOzs6YOXMmZDIZRowY0eXAQ6LBhsk1ERHREKRKX2qg++4Fd6fJKy0txcsvv4wvv/wSYrEY7u7umDZtGkaNGsXWaRqSmFwTERENQar0pQaUuxcIgoCamhqUlpaivLwcLS0tEIvFyM/Px5/+9Cd4eHhwQRYa8phcExERUY+am5tRXFyM4uJiNDY2Qk9PD/b29pBIJLC3t8ff/vY3xMbG9ngMXZw+lQMDSROYXNOQp+qS7M3NzTA2Nu6xDCthIhosBEFARUUFIiIicPToUQiCABsbG8hkMjg4OChNladqknp3VcXu9PcgPA4MJE1gck1DnqpLsgcHB+PkyZP3LUNENJC1trYqFnZpamqCs7Mz3Nzc4OzsDFNT0y73YZJK9B9MromIiAj19fXIz89HSUkJOjo6YGNjgzFjxiAiIgKnT5/WdnhEAwaTayIioiFKEARUVlYiLy8PFRUV0NPTg1QqhZubG8zMzAAAcrlcy1ESDSxMromIiIaYjo4OeHp6IjExEfX19TAyMoKXlxecnZ1hZGSk7fCIBjQm10REREOEXC7HxYsX8euvvyIsLAyCIGDcuHFwdHSEvr6+tsMjGhT0tB0AERHphkOHDsHLywsymQxbtmzptL2lpQWRkZGQyWQIDg5GQUEBAODIkSMICAiAr68vAgICcOzYsX6OnO6nra0NSUlJ+Oijj/DDDz/AyMgIBw4cwLRp0+Dk5MTEmkiN2HJNRESQy+VYvnw5jhw5AqlUiqCgIISHh8Pb21tRZvv27bCyskJOTg5iY2Oxbt06xMXFwdbWFj/88AMcHR1x5coVhIaGqrTyH2lec3MzUlJScPbsWTQ2NsLFxQULFiyAh4cH1q9fz+XIiTRAoy3XvW0FqaqqwiOPPAJTU1OsWLFCkyESERGA5ORkyGQyuLu7w9DQEIsWLUJCQoJSmYSEBCxZsgQAlOY+Hj9+PBwdHQEAPj4+aGpqQktLS79fA/3H7du3cfToUfzjH//AsWPH4OjoiBdffBEvvPACZDIZk2oiDdJYy3VfWkGMjY3xzjvv4MqVK7hy5YqmQiQdxlWziPpXaWkpnJycFK+lUimSkpK6LSMWi2FhYYGqqirY2toqyuzduxcTJkzodlBcTEwMYmJiAAAVFRXqvowhr7a2FqdPn8b58+fR3t4Ob29vPPzww3BwcNB2aERDhsaS63tbQQAoWkHuTa4TEhKwadMmAHdaQVasWAFBEDB8+HA8/PDDyMnJ0VR4pOO4IAHRwJOeno5169bh8OHD3ZaJjo5GdHQ0ACAwMLC/Qhv0ampqcPLkSaSlpQEA/Pz8MHnyZKU/fIiof2gsuVZXK0hP2AJCRKQeEokExcXFitclJSWQSCRdlpFKpWhvb0dtbS1sbGwU5Z944gl8+eWX8PDw6NfYhxpfX19Fn3Zzc3MEBQVhzJgxEAQB6enpOHfuHMzNzXH58mUtR0o0NA3oAY1sASEiUo+goCBkZ2cjPz8fEokEsbGx+Oabb5TKhIeHY8eOHQgJCUF8fDxmzJgBkUiEmpoazJs3D1u2bMHkyZO1dAVDR2lpKb777jvk5OSgpKQEIpEIzs7O8PDwwOOPPw4AmDVrlnaDJBrCNDag8UFaQQB0agUhIqL+IxaLsXXrVoSGhmLMmDFYuHAhfHx8sHHjRnz//fcAgGXLlqGqqgoymQz/+7//qxiovnXrVuTk5GDz5s3w9/eHv78/bt68qc3LGbSqq6sxa9YsHD9+HKWlpXBxccEjjzyCsWPHwsTERNvhERE02HLdl1YQIiLqf2FhYQgLC1N6b/PmzYrvjY2NsWfPnk77bdiwARs2bNB4fEPBvV0+7mVpaYmJEyfCy8sLnp6ecHV1hYeHB4yNjbUQJRH1RGPJ9b2tIHK5HEuXLlW0ggQGBiI8PBzLli1DVFQUZDIZrK2tERsbq9jf1dUVdXV1aG1txXfffYfDhw8rDYYkIiIabEpLS5UGczc0NCA7OxulpaXQ09ODq6srVqxYwYV6iHSYRvtc97YVBIBizmsiIqKhpr6+HtnZ2SgrK4O+vj7c3d3h4eEBIyMj3L59W9vhEVEPBvSARiIiosHE2toa58+fVyTVHh4ecHd373be8O5wrQAi7WFyTUREpGU3btxAYmIiFi9ejBs3biitltkbXCuASHuYXBMREWnJ9evXkZiYiGvXrsHQ0BApKSnYsGFDr5NqItI+JtdERET9rKysDImJicjMzISRkRGmTp2KSZMm4a9//SsTa6IBjsk1ERFRPykuLkZiYiJycnJgbGyM6dOnIzg4mFPqEQ0iTK6JiIg0rLCwEO+//z5GjBiBxsZGXLhwAZcuXUJra6tSOQ4yJBr4mFwTERFpgCAIyMvLw8mTJ1FYWAhTU1OMGTMGLi4uWLhwYZf7cJAh0cDH5JqIiEiN5HI50tPTcfr0ady4cQNmZmaYM2cO5s+fj8jISG2HR0QaxuSaiIhIDZqbm3Hu3DkkJSWhvr4ednZ2CA8Ph6+vL8RiMeRyubZDJKJ+wOSaiIioDyZPngx7e3uMGTMGRkZGKC4uxrlz51BYWKhUjv2piYYGJtdEREQPqL29HdeuXUNqaipmz54NPT09ODg4wN3dHRYWFl3uw/7UREMDk2siIiIV3bx5ExcvXkRaWhoaGxthZWWFkydP4p133uH81EQEgMk1ERFRj+rr63H58mVcunQJN27cgEgkgpeXFwIDA+Hu7o5NmzYxsSYiBSbXREREv9HQ0ICsrCykp6cjLy8PACCRSDBnzhyMHTsWw4cP13KERKSrmFwTEREBqK6uRkZGBjIyMlBcXAwAsLKywtSpU+Hn5wcbGxstR0hEAwGTayIiGpLa2tpQWFiI3Nxc5ObmoqKiAgAwcuRITJ8+HaNHj8ajjz6K0tLSHo/DWUCI6F5MromIaEiQy+W4fv068vPzkZeXh6KiIsjlcujr68PZ2RkTJkzA6NGjYWlpqdintLQUR44c6fG4nAWEiO7F5JqIiAYdX19fVFRUwMHBAY6OjnBwcMDIkSNhYGAAAKioqEB1dTXeeecdODs7K94nIuorJtdERDTgNTU1oby8HOXl5bh+/TpmzpwJKysrAIBIJIK5uTmsra1hZWUFa2trGBsbIyQkBIcOHerxuOzyQUQPisk1ERENCIIgoLGxERUVFaisrFT8W1lZibq6OkU5CwsLVFVVYdKkSbCysoKlpSXE4s4fdx0dHezyQURqp6fJgx86dAheXl6QyWTYsmVLp+0tLS2IjIyETCZDcHAwCgoKFNvee+89yGQyeHl54aefftJkmEREBN2vs9PS0vDBBx9gx44dOHDgAC5cuICmpia4urpi5syZiIqKwtq1a7Fq1SocOHAAnp6esLW17TKxJiLSFI3VOHK5HMuXL8eRI0cglUoRFBSE8PBweHt7K8ps374dVlZWyMnJQWxsLNatW4e4uDhcvXoVsbGxSE9PR1lZGR599FFkZWVBX19fU+ESEQ1pA6HOdnZ2RlpaGvLz81FdXY2GhoZuy7I7BxFpi8aS6+TkZMhkMri7uwMAFi1ahISEBKWKOiEhAZs2bQIAREREYMWKFRAEAQkJCVi0aBGMjIzg5uYGmUyG5ORkhISEaCpcIqIhbSDU2TY2Njhx4sR9u3IA7M5BRNojEgRB0MSB4+PjcejQIXz++ecAgJ07dyIpKQlbt25VlBk7diwOHToEqVQKAPDw8EBSUhI2bdqESZMmYfHixQCAZcuWYe7cuYiIiFA6R0xMDGJiYgAAGRkZGD16dI8xVVRUwM7OTm3X2Fe6FA9j6Z4uxaNLsQC6Fc9Aj6WgoACVlZUaiuj++qPOBh683tYEXfpZ0RbeA94DgPcA6P096KnOHtAd0aKjoxEdHa1y+cDAQKSmpmowogejS/Ewlu7pUjy6FAugW/EwloHhQettTeD/D+8BwHsA8B4AmrkHGhvQKJFIFMvHAkBJSQkkEkm3Zdrb21FbWwsbGxuV9iUiIvVhnU1EpB4aS66DgoKQnZ2N/Px8tLa2IjY2FuHh4UplwsPDsWPHDgB3HknOmDEDIpEI4eHhiI2NRUtLC/Lz85GdnY2JEydqKlQioiGPdTYRkXporFuIWCzG1q1bERoaCrlcjqVLl8LHxwcbN25EYGAgwsPDsWzZMkRFRUEmk8Ha2hqxsbEAAB8fHyxcuBDe3t4Qi8X45JNP1DLqXNuPIn9Ll+JhLN3TpXh0KRZAt+JhLH2ji3W2pgzE/x914z3gPQB4DwDN3AONDWgkIiIiIhpqNLqIDBERERHRUMLkmoiIiIhITQZdcr1nzx74+PhAT0+vx6lVulvmNz8/H8HBwZDJZIiMjERra2uvY6mursasWbPg6emJWbNm4datW53K/PLLL/D391d8GRsb47vvvgMAvPDCC3Bzc1NsS0tL63UsqsYDAPr6+opz3jugqb/vTVpaGkJCQuDj4wM/Pz/ExcUptqnj3ujaUs/3i+d///d/4e3tDT8/P8ycOROFhYWKbd39n2kqli+++AJ2dnaKc96dGxkAduzYAU9PT3h6eioGv2k6ntWrVytiGTVqFCwtLRXb1Hlvli5dCnt7e4wdO7bL7YIg4LXXXoNMJoOfnx/Onz+v2KaJ+0I968vv1GBxv3tw1969eyESiQbltGyq3IPdu3fD29sbPj4+ePbZZ/s5Qs273z0oKirCI488gvHjx8PPzw8//vijFqLUnL7U3b0iDDJXr14VMjIyhGnTpgkpKSldlmlvbxfc3d2F3NxcoaWlRfDz8xPS09MFQRCEp59+Wti1a5cgCILwyiuvCJ9++mmvY1m7dq3w3nvvCYIgCO+9957w5ptv9li+qqpKsLKyEm7fvi0IgiAsWbJE2LNnT6/P39t4hg8f3uX7/X1vMjMzhaysLEEQBKG0tFQYOXKkcOvWLUEQ+n5vevoZuOuTTz4RXnnlFUEQBGHXrl3CwoULBUEQhPT0dMHPz09obm4W8vLyBHd3d6G9vb3Xsagaz7FjxxQ/G59++qkiHkHo/v9MU7H8+9//FpYvX95p36qqKsHNzU2oqqoSqqurBTc3N6G6ulrj8dzro48+El588UXFa3XemxMnTgjnzp0TfHx8utx+4MABYc6cOUJHR4dw5swZYeLEiYIgaOa+UM/6+js1GKj6u1NXVydMmTJFCA4O7vZzc6BS5R5kZWUJ/v7+it/JGzduaCNUjVHlHrz88suKz/T09HTBxcVFC5FqTm/r7t4adC3XY8aMgZeXV49l7l3m19DQULHMryAIOHbsmGJVsSVLlihakXsjISEBS5YsUflY8fHxmDt3LoYNG9brc6oznntp496MGjUKnp6eAABHR0fY29ujoqKi1+e8V3c/A93FGBERgaNHj/a41LOm43nkkUcUPxuTJk1CSUlJn87Zl1i689NPP2HWrFmwtraGlZUVZs2ahUOHDvVrPLt27cIzzzzTp3N2Z+rUqbC2tu52e0JCAp5//nmIRCJMmjQJNTU1KC8v18h9oZ7p0u+Utqj6u/PWW29h3bp1MDY21kKUmqXKPfjXv/6F5cuXw8rKCgBgb2+vjVA1RpV7IBKJUFdXBwCora2Fo6OjNkLVmN7W3b016JJrVZSWlsLJyUnxWiqVorS0FFVVVbC0tIRYLFZ6v7du3LgBBwcHAMDIkSNx48aNHsvHxsZ2Sgr++Mc/ws/PD6tXr0ZLS0uvY3mQeJqbmxEYGIhJkyYpkl5t35vk5GS0trbCw8ND8V5f7k13PwPdlRGLxbCwsEBVVZVK+z6oBz3m9u3bMXfuXMXrrv7PNB3L3r174efnh4iICMUCItq+N4WFhcjPz8eMGTMU76nz3vQ2Vk3cF+pZX3+nBgNV7sH58+dRXFyMefPm9Xd4/UKVe5CVlYWsrCxMnjwZkyZNGnR/+KpyDzZt2oSvvvoKUqkUYWFh+Pjjj/s7TK1Sdx09IJc/f/TRR3H9+vVO77/77rt47LHHdCaWe4lEIohEom6PU15ejsuXLyM0NFTx3nvvvYeRI0eitbUV0dHReP/997Fx40aNx1NYWAiJRIK8vDzMmDEDvr6+sLCw6PG8mooFuHNvoqKisGPHDujp3fl7sDf3ZrD46quvkJqaihMnTije6+r/7N4/RNRtwYIFeOaZZ2BkZIR//vOfWLJkCY4dO6ax86kqNjYWERERSnMs9/e9oYGnq9+poaCjowOvv/46vvjiC22HolXt7e3Izs7G8ePHUVJSgqlTp+Ly5ctKYzcGu127duGFF17AmjVrcObMGURFReHKlSuKz1x6MAMyuf7555/7tH93S/Xa2NigpqYG7e3tEIvFKi3h21MsI0aMQHl5ORwcHFBeXt7jo6bdu3fjiSeegIGBgeK9uy27RkZGePHFF/HBBx/c99rUEc/da3Z3d8f06dNx4cIFPPXUU1q5N3V1dZg3bx7effddTJo0SfF+b+7Nb69R1aWepVKpxpd6VvWYP//8M959912cOHECRkZGSvsDyv9nvU0gVYnFxsZG8f1LL72EN998U7Hv8ePHlfadPn16r+J4kHjuio2NxSeffNJpf0A996a3sWrivlDP+vo7NRjc7x7U19fjypUrip/F69evIzw8HN9//z0CAwP7O1yNUOXnQCqVIjg4GAYGBnBzc8OoUaOQnZ2NoKCg/g5XI1S5B9u3b1e02IeEhKC5uRmVlZWDrotMd9T+ud6nHts6rKcBjW1tbYKbm5uQl5en6Nx/5coVQRAEISIiQmnQ3ieffNLrGN544w2lQXtr167ttmxwcLBw7NgxpffKysoEQRCEjo4OYeXKlcK6det6HYuq8VRXVwvNzc2CIAhCRUWFIJPJFAMf+vvetLS0CDNmzBD+/ve/d9rW13vT08/AXVu3blUa0Pj0008LgiAIV65cURrQ6Obm1ucBjarEc/78ecHd3V0xyPOunv7PNBXL3fsvCIKwb98+ITg4WBCEOwP3XF1dherqaqG6ulpwdXUVqqqqeh2LqvEIgiBcu3ZNcHFxETo6OhTvqfveCIIg5OfndzsoZv/+/UqDYoKCggRB0Mx9oZ715XdqsFD1d+eunj43BypV7sHBgweF559/XhCEO/WEVCoVKisrtRGuRqhyD+bMmSP8+9//FgThzsQQDg4OSnXpYNCburu3Bl1yvW/fPkEikQiGhoaCvb29MHv2bEEQ7sw2MXfuXEW5AwcOCJ6enoK7u7vw5z//WfF+bm6uEBQUJHh4eAgRERGKD+beqKysFGbMmCHIZDJh5syZig/TlJQUYdmyZYpy+fn5gqOjoyCXy5X2f+SRR4SxY8cKPj4+wnPPPSfU19f3OhZV4/n111+FsWPHCn5+fsLYsWOFzz//XLF/f9+bnTt3CmKxWBg3bpzi68KFC4IgqOfedPUz8NZbbwkJCQmCIAhCU1OTEBERIXh4eAhBQUFCbm6uYt8///nPgru7uzBq1Cjhxx9/7PV9eJB4Zs6cKdjb2yvuxYIFCwRB6Pn/TFOxrF+/XvD29hb8/PyE6dOnC9euXVPsu337dsHDw0Pw8PAQ/u///q/PsagSjyAIwp/+9KdOf2Sp+94sWrRIGDlypCAWiwWJRCJ8/vnnwmeffSZ89tlngiDc+WPv1VdfFdzd3YWxY8cqJSqauC/Us97+Tg0mqvzu3DUYk2tBuP896OjoEFavXi2MGTNGGDt2rKIRaTC53z1IT08XHnroIcHPz08YN26c8NNPP2kzXLXrS93dG1z+nIiIiIhITdhTnYiIiIhITZhcExERERGpCZNrIiIiIiI1YXJNRERERKQmTK6JiIiIiNSEyTXpvHfffRc+Pj7w8/ODv78/kpKSHvgYBQUFGDt27APt88ILLyA+Pv6Bz6Wp4xARDQSss2moG5ArNNLQcebMGezfvx/nz5+HkZERKisr0draqu2wiIioC6yzidhyTTquvLwctra2imWJbW1t4ejoCABISUnBQw89hHHjxmHixImor69HQUEBpkyZggkTJmDChAk4ffp0p2PK5XKsXbsWQUFB8PPzwz//+U8AgCAIWLFiBby8vPDoo4/i5s2bnfbNyMjAxIkTFa8LCgrg6+sLANi8eTOCgoIwduxYREdHo6sp5F1dXVFZWQkASE1NVSw7fPv2bSxduhQTJ07E+PHjkZCQAABIT0/HxIkT4e/vDz8/P2RnZ/f2VhIRaRzrbNbZxOSadNzs2bNRXFyMUaNG4dVXX8WJEycAAK2trYiMjMSHH36Iixcv4ueff4aJiQns7e1x5MgRnD9/HnFxcXjttdc6HXP79u2wsLBASkoKUlJS8K9//Qv5+fn49ttvkZmZiatXr+LLL7/sspIfPXo0WltbkZ+fDwCIi4tDZGQkAGDFihVISUnBlStX0NTUhP3796t8ne+++y5mzJiB5ORk/PLLL1i7di1u376Nbdu2YeXKlUhLS0NqaiqkUmlvbiMRUb9gnc06m5hck44zNTXFuXPnEBMTAzs7O0RGRuKLL75AZmYmHBwcEBQUBAAwNzeHWCxGW1sbXn75Zfj6+uLpp5/G1atXOx3z8OHD+PLLL+Hv74/g4GBUVVUhOzsbiYmJeOaZZ6Cvrw9HR0fMmDGjy5gWLlyIuLg4AMoV9S+//ILg4GD4+vri2LFjSE9PV/k6Dx8+jC1btsDf3x/Tp09Hc3MzioqKEBISgv/5n//B+++/j8LCQpiYmDzoLSQi6jess1lnE/tc0wCgr6+P6dOnY/r06fD19cWOHTsQEBDQZdm///3vGDFiBC5evIiOjg4YGxt3KiMIAj7++GOEhoYqvf/jjz+qFE9kZCSefvppPPnkkxCJRPD09ERzczNeffVVpKamwsnJCZs2bUJzc3OnfcViMTo6OgBAabsgCNi7dy+8vLyUyo8ZMwbBwcE4cOAAwsLC8M9//rPbDxAiIl3AOpt19lDHlmvSaZmZmUp91tLS0uDi4gIvLy+Ul5cjJSUFAFBfX4/29nbU1tbCwcEBenp62LlzJ+RyeadjhoaG4rPPPkNbWxsAICsrC7dv38bUqVMRFxcHuVyO8vJy/PLLL13G5OHhAX19fbzzzjuKFpC7la6trS0aGhq6HWnu6uqKc+fOAQD27t2rFNPHH3+s6PN34cIFAEBeXh7c3d3x2muv4bHHHsOlS5dUv3lERP2MdTbrbGLLNem4hoYG/P73v0dNTQ3EYjFkMhliYmJgaGiIuLg4/P73v0dTUxNMTEzw888/49VXX8VTTz2FL7/8EnPmzMHw4cM7HfOll15CQUEBJkyYAEEQYGdnh++++w5PPPEEjh07Bm9vbzg7OyMkJKTbuCIjI7F27VpFPz5LS0u8/PLLGDt2LEaOHKl49Plbf/rTn7Bs2TK89dZbioExAPDWW29h1apV8PPzQ0dHB9zc3LB//37s3r0bO3fuhIGBAUaOHIk//OEPfbuhREQaxDqbdTYBIqGr4bFERERERPTA2C2EiIiIiEhNmFwTEREREakJk2siIiIiIjVhck1EREREpCZMromIiIiI1ITJNRERERGRmjC5JiIiIiJSk/8HbpXAqgCEEOgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scaler = Normalizer().set_output(transform=\"pandas\")\n",
    "\n",
    "df_sim_sc = scaler.fit_transform(df_sim)\n",
    "\n",
    "# Plotting the distributions\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(12, 4))\n",
    "fig.patch.set_facecolor('white')\n",
    "fig.patch.set_alpha(1.0)\n",
    "\n",
    "hist_params = dict(kde=True, bins=30, alpha=0.4, stat=\"probability\")\n",
    "sns.histplot(df_sim_sc.normal, ax=axes[0], color='grey', **hist_params)\n",
    "sns.histplot(df_sim_sc.left_skewed, ax=axes[1], color='grey', **hist_params)\n",
    "\n",
    "\n",
    "axes[0].set_title('Normally distributed')\n",
    "axes[0].set_xlabel(\"Scaled values\")\n",
    "axes[1].set_title('Left-skewed data')\n",
    "axes[1].set_xlabel(\"Scaled values\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c78baf6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
